On Heisenberg Principle - ParticleWave Hybrid

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SUMMARY

The discussion centers on the Heisenberg Principle and the concept of a simultaneous autoket of position (X) and momentum (Py) in quantum mechanics. The participants debate the feasibility of observing a particle on the X-axis while simultaneously observing a wave on the Y-axis. It is concluded that such observations do not align with experimental procedures in quantum mechanics, which focus on measuring specific observables like position and momentum, and are inherently probabilistic in nature.

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  • Understanding of the Heisenberg Uncertainty Principle
  • Familiarity with quantum mechanics terminology, including "autoket" and "observables"
  • Knowledge of experimental procedures in quantum mechanics
  • Concept of probabilistic measurement in quantum systems
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Students and professionals in physics, particularly those specializing in quantum mechanics, as well as researchers interested in the implications of the Heisenberg Principle on experimental physics.

Llewlyn
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From [X, Py] = 0 follows that i can build a simultaneous autoket of X and Py (momentum on Y axis). Should i expect to observe a particle on X axis and a wave on Y axis? Does it make any sense?

bests,

Ll.
 
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Llewlyn said:
From [X, Py] = 0 follows that i can build a simultaneous autoket of X and Py (momentum on Y axis). Should i expect to observe a particle on X axis and a wave on Y axis? Does it make any sense?

I don't think it makes sense. There is no experimental procedure for "observing a particle" or "observing a wave". In experiment one can measure particle positions, momenta, spins, and other observables. Moreover, in QM these measurements are essentially probabilistic: If measurements are performed on an ensemble of identically prepared systems, one often obtains different results for different members in the ensemble.

If you want your question to have a definite answer you should formulate it within this experimental context.

Eugene.
 

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